KR20160003587U

KR20160003587U - Self-assembly teaching aids for polyhedron

Info

Publication number: KR20160003587U
Application number: KR2020150002237U
Authority: KR
Inventors: 권숙란
Original assignee: (주) 수학사랑
Priority date: 2015-04-08
Filing date: 2015-04-08
Publication date: 2016-10-18

Abstract

The present invention relates to an assembled polyhedron parabola, wherein the assembled polyhedron parabola according to the present invention comprises a plurality of laminated parabolic plates having 2n + 1 arcs having the same shape continuously formed on the rim, and a cut-out portion formed on the rim of the arc, And a cut portion of one of the plurality of cut pieces of the plurality of cut pieces is coupled to a cut portion of another cut piece of the cut pieces, and the cut pieces are continuously joined to form a polyhedron.

Description

[0001] SELF-ASSEMBLY TEACHING AIDS FOR POLYHEDRON [0002]

The present invention relates to a multi-faceted polyhedron, and it is possible to directly construct various polyhedrons through the combination of polyhedrons and polyhedrons. Especially, middle school students, high school students, and even adults, The present invention relates to a polyhedron assembly.

A regular polyhedron refers to a figure that has the same number of faces at each vertex.

When the above conditions are satisfied, only the regular tetrahedron (a), the cube (b), the regular octahedron (c), the regular tetrahedron (d) Lt; / RTI >

Currently, the first grade of middle school mathematics curriculum includes the contents of regular polyhedra under the understanding of figure> solid figure> polyhedron. In this case, the regular polyhedron is made of paper, plastic cardboard, , And uses educational diaries.

However, the regular polygonal learning parcels being used are simple regular polygons, are all sides of regular polygons joined together? Is the number of faces encountered at each vertex equal? And the number of corners, the number of vertices, and so on.

In other words, the existing regular polygonal learning parish is used to observe only the outer shape of regular polygonal body, so it is not utilized in actual education.

A prior art related to this is Korean Patent Laid-Open Patent No. 10-2011-0121666 (entitled: Rationalized Academic Learning Diocese, published on November 08, 2011).

The object of the present invention is to solve the above-mentioned problems, and it is an object of the present invention to make various polyhedrons by combining a polygonal plate and a polygonal plate, and in particular, And to provide a prefabricated polyhedron parish that can help understanding of the polyhedron through an attempt.

Also, it is an object of the present invention to provide a polygonal polygonal parabola that is easy to be assembled and disassembled by assembling a polygonal body by engaging an incision formed in the arc of the polygonal piece plate.

In order to solve the problems described above, the assembled polyhedrons according to the first embodiment of the present invention are characterized in that 2n + 1 calls having the same shape are continuously formed on the rim, and a plurality of chuck pieces Wherein a cut portion of one of the plurality of cut pieces of the plurality of cut pieces is coupled to a cut portion of another cut piece, and the cut pieces are continuously joined to form a polyhedron.

The slab plate may include a fold line formed to be symmetrical with the edge of the arc toward the inside of the slab plate about an imaginary line connecting both ends of the arc of the arc.

Further, when the imaginary lines are continuously connected, they have a regular polygonal shape.

Further, the incising portion has a semicircular shape.

In addition, when the number of arcs of the engraving plate is larger than the number of arcs of any one of the plurality of engraving plates, the shape of the arc of any one of the engraving plates and the shape of the remaining one engraving plate The shapes of the arcs of the plate are the same.

The assembled polyhedron element according to the second embodiment of the present invention includes a plurality of polygonal pieces formed continuously in such a manner that 2m + 2 arcs having the same shape are opposed to each other on the rim and a cut-out portion formed on the rim of the arc, And a cut portion of one of the plurality of polygonal pieces is joined to a cut portion of another polygonal piece, and the polygonal pieces are continuously joined to form a polyhedron.

The polygonal piece plate may include a fold line formed to be symmetrical with respect to an edge of the arc toward the inside of the polygonal piece plate about a virtual line connecting both ends of the arc of the arc.

Further, the incising portion has a semicircular shape.

When the number of arcs of one polygonal plate is larger than the number of arcs of one polygonal plate of the plurality of polygonal plates, the shape of the arc of one polygonal plate and the shape of the remaining one polygonal plate The shapes of the arcs of the plate are the same.

The assembled polyhedron element according to the third embodiment of the present invention includes a plurality of knurled pieces with continuous 2n + 1 calls having the same shape at the rim and a cut-out portion at the rim of the arc, A plurality of slabs formed continuously so as to face each other with 2m + 2 arcs facing each other, and a cut-out portion formed on the edge of the arc, wherein the slit of the slab plate and the slice of the slab plate are continuously connected And a polyhedron is formed.

The curved plate and the polygonal plate may each include a fold line formed to be symmetrical with respect to an edge of the arc toward the inside with respect to a virtual line connecting both ends of the curved edge of the arc.

Further, the incising portion has a semicircular shape.

In addition, when the cut-away portion of the slab plate and the cut-away portion of the slab plate are continuously coupled, the arc of the slab plate and the arc of the slab plate are the same.

As described above, according to the present invention, various polyhedrons can be directly made by combining a polygonal plate and a polygonal plate. Especially, elementary school students, middle and high school students, and even adults can help understand polyhedra through various attempts There are advantages to be able to.

Further, since the polygonal body is assembled by engaging the incisions formed in the arcs of the engraved plate and the arcs of the polygonal plate, it is easy to combine and disassemble.

FIG. 1 is a front view showing a side view of the assembled polyhedrons of the present invention.
2 is a front view showing a state of a polygonal piece plate of the assembled polyhedron parish according to the present invention.
FIG. 3 is a conceptual diagram showing the shape of a triangle formed by three arcs among the rectangular platelets of the assembled polyhedron parabola according to the present invention.
FIGS. 4 to 5 are views illustrating a polyhedron joined to the assembled polyhedron element according to the present invention. FIG.
FIG. 6 is an exemplary view showing a shape of a polyhedron combined only with a polygonal piece of the assembled polyhedron according to the present invention.
FIGS. 7 to 8 are views showing a polygon formed by mixing a polygonal piece plate and a polygonal piece plate of a polygonal polygon according to the present invention.
9 is a perspective view of a regular polyhedron.

Hereinafter, embodiments of the present invention will be described with reference to the accompanying drawings. The same reference numerals shown in the drawings denote the same members. In describing the present invention, a detailed description of related known functions or configurations will be omitted so as not to obscure the gist of the present invention.

FIG. 1 is a front view showing the shape of a polygonal plate of the polygonal polygonal diaphragm according to the present invention, and FIG. 3 is a conceptual view showing a polygonal triangle formed of three polygonal plates among the polygonal plate of the polygonal polygonal diagonal according to the present invention.

A triangle 110 and a pentagon 120 are shown on the left side of FIG. 1 and a right pentagon 120 on the right side. 100), and may further include a polygon (polygonal).

In other words, the polygon is composed of at least three odd polygons. By summarizing this, it can be said that 2n + 1 (n is a natural number of 1 or more) .

As shown in FIG. 3, the triangle 110 is a Reuleaux triangle formed by connecting the intersections of the circles of circles around the vertices of an equilateral triangle, and the triangle 110 has the same width Of which the width is the smallest.

The polygon (for example, pentagonal pentagon) is a generalization of the triangle 110 with a polygon. The polygon is a polygon having the longest diagonal line in the vertex 4 of a regular polygon having an odd number of sides such as an equilateral triangle, (Virtual line 2 to be described later) as a radius.

That is, three triangles 110 are continuously formed with three arcs 1 having the same shape in the rim.

In addition, the triangle 110 represents a polygon, and the arc 1 has a cutout 300 formed therein.

The fold lines 3 are formed in the triangle 110 with the same number of arcs as the number of arcs. The fold lines 3 are formed by connecting the imaginary lines 2 connecting both ends of one arc 1 And is formed to be symmetrical with respect to the arc 1 toward the inner side of the engraved plate with the center.

When the virtual lines 2 are continuously connected, they have a regular polygonal shape such as a regular triangle and a regular pentagon, as shown by the dotted line in FIG.

In other words, the arc 1 and the fold line 3 are symmetrical with respect to the imaginary line 2, and the fold line 3 is formed by joining and joining a plurality of the engraving plates 100 in succession. It can be folded or unfolded for easy disassembly.

A cutout 300 is formed at the edge of the arc 1. The cutout 300 is cut inward from the rim of the arc 1 and has a generally semicircular shape The shape of the cutout 300 serves to allow the cutout 300 of one of the cutout boards 100 and the cutout of another cutout board to be inserted and joined.

4 and 5 illustrate an example of a polyhedron formed by combining polygons. FIG. 4 includes five polygons 120 and five triangles 110 and has a starfish shape.

The starfish shaped polyhedron shown in FIG. 4 is formed by joining a cutout 300 formed in the arc 1 of the triangle 110 with a cutout 300 formed in each arc 1 of the cutout 120 The remaining two cuts 300 of the triangle 110 coupled to the pentagon 120 may be joined together to form a polyhedron.

In short, any one of the plurality of engraving plates 100 (one of the two pentagons 120 and five triangles 110 in the case of FIG. 4) When the number of arcs in the piece plate (the pentagon 120) is larger than the number of pieces, the shape of the arc of one of the engraved pieces and the shape of the arc of the other piece of engraved plate are equal to each other, Lt; / RTI >

2 is a front view showing a state of a polygonal piece plate of the assembled polyhedron parish according to the present invention.

2, the polygonal piece 200 includes a rectangular piece 210 on the left side and a hexagonal piece 220 on the right side. The polygonal piece 200 is composed of an even polygon having at least four or more pieces such as an octagonal piece, In summary, it can be said that 2m + 2 (m is a natural number of 1 or more).

2, the rectangular piece plate 210 has four arcs 1 having the same shape as the rectangular piece plate 100, and the square piece plate 210 has a rectangular shape, And the incision part 300 is formed in each arc 1.

The polygonal plate 200 may include a square plate having a regular polygonal shape with an even number of sides such as a square, a regular hexagon, and a regular octagonal shape. The polygonal plate 200 may be provided with a virtual The line 2 and the fold line 3 may be included.

In the case of the quadrangular plate 210, the number of arcs 1 is four. When six quadrilateral plates 210 are continuously connected to each other, as shown in FIG. 6, As shown in FIG.

A folding line 3 is formed on the rectangular block 210 so as to have the same number as the number of the arcs 1. The folding line 3 is a virtual line connecting two ends of one arc 1 2 symmetrically with respect to the arc 1 toward the inside.

When the virtual lines 2 are continuously connected as described above, they have a regular polygonal shape such as a square or a regular hexagon, as shown in FIG.

In other words, the arc 1 and the fold line 3 are symmetrical with respect to the imaginary line 2, and the fold line 3 connects the plurality of polygonal plate 200 in succession. And can be folded or unfolded for easy disassembly.

A cutout 300 is formed at the edge of the arc 1. The cutout 300 is cut inward from the rim of the arc 1 and has a substantially semicylindrical shape as shown in FIG. The shape of the cutout 300 allows the cutout of one of the multiple cutout plates to be engaged with the cutout of another cutout plate.

FIG. 6 shows an example of a polyhedron formed by joining a polygonal piece plate. FIG. 6 includes six rectangular piece plates 210 having a die-like shape, that is, a cubic shape.

The cuboidal shaped polyhedron shown in FIG. 6 has a rectangular piece plate 210 and a rectangular piece plate 210 connected to the cutouts 300 formed in four arcs 1 of the rectangular piece plate 210, 300 can be combined with another rectangular plate to form a cube.

FIGS. 7 to 8 are views illustrating a polyhedron combined with a combined polygonal plate and a polygonal plate according to the present invention. FIG.

7 shows an example in which two quadrangular planes 120 and five quadrangular planes 210 among the planar quadrangular planes 200 are coupled to each other and have a generally pentagonal shape. , It can be understood that one piece of the rectangular piece 210 may be replaced with two triangles 110 in a round shape.

7, for example, one arc 1 of the rectangular plate 210 is connected to five arcs 1 of one rectangular pentagon 120, and one arc of the rectangular pentagon 120 Two of the remaining three arcs 1 of the square piece plate 210 that are not associated with the arc 1 are combined with the rectangular piece plates 210 and the remaining three One of the arcs (1) is joined to each of the five arcs of another pentagon.

The polyhedron shown in Fig. 8 is a polyhedron in which eighteen rectangular pieces 210 and eight triangles 110 are continuously connected.

When the number of arcs of the engraved plate is larger than the number of arcs of any one of the plurality of engraved plates, the number of arcs of one of the plurality of engraved plates is larger than the number of arcs of one of the plurality of engraved plates, And the shape of the arc of the other one of the engraving plates should be the same as each other so that the engaging of the engraving plates can be performed.

When the number of arcs of one polygonal plate is larger than the number of arcs of one polygonal plate of the plurality of polygonal plates, the shape of the arc of one polygonal plate and the shape of the remaining one polygonal plate The shape of the arc of the plate should be the same as each other so that the joining of the pieces can be made.

In addition, when the incised portion of the engraved plate and the incised portion of the engraved plate are continuously coupled, the arc of the engraved engraved plate and the shape of the arc of the engraved plate may be the same.

In the drawings and specification, only a part of the combination of the engraved plate and the engraved plate is disclosed, and a general technician can design various polyhedra from this.

In addition, this design is able to directly make various polyhedra through the combination of the chess pieces and the polygonal chess pieces. Especially, it is characterized by being able to help the understanding of the polyhedra through the various attempts of the adults from elementary school to middle and high school students and furthermore do.

Further, the present invention is characterized in that it is easy to combine and disassemble because the polygonal body is assembled by engaging the incisions formed in the arcs of the engraved plate and the arcs of the polygonal plate.

Optimal embodiments have been disclosed in the drawings and specification. Although specific terms are employed herein, they are used for the purpose of describing the present invention only and are not used to limit the scope of the present invention described in the meaning of the present invention. Therefore, it will be understood by those skilled in the art that various changes and modifications may be made without departing from the scope of the present invention. Therefore, the true scope of technical protection of this invention should be determined by the technical idea of the appended utility model registration claim scope.

1-
2-virtual line
3-fold line
4- Vertex Point
100-뢸 with engraving plate 110-뢸 triangle
120-quadrangle
200-polygonal plate 210-square plate
220-hexagonal plate
300-incision

Claims

And a plurality of chuck pieces formed continuously with 2n + 1 chunks having the same shape on the rim and having a cutout at the rim of the arc,
Wherein the cut-out portion of one of the plurality of cut pieces of the plurality of cut pieces is coupled to the cut portion of another cut piece, and the cut pieces of the cut pieces are continuously joined to form a polyhedron.

The method according to claim 1,
In the slab plate,
And a fold line formed to be symmetrical with an edge of the arc toward an inner side of the engraving plate about an imaginary line connecting both ends of the arc of the arc.

The method of claim 2,
Wherein when the virtual lines are continuously connected, the virtual polygonal shape has a regular polygonal shape.

The method according to claim 1,
Wherein the cut-out portion has a semicircular shape.

The method according to claim 1,
When the number of the arc of the engraved plate is larger than the number of the arcs of any one of the plurality of engraved plates, the shape of the arc of any one of the engraved plates and the shape of the other one of the engraved plates Wherein the shapes of the arcs are the same.

And a plurality of sliced pieces formed continuously in such a manner that 2m + 2 arcs having the same shape are opposed to each other on the rim, and a cutout is formed on the rim of the arc,
Wherein a cut portion of one of the plurality of polygonal pieces is coupled to a cut portion of another polygonal piece, and the polygonal pieces are continuously joined to form a polyhedron.

The method of claim 6,
In the polygonal plate,
And a fold line formed to be symmetrical with a rim of the arc toward the inside of the polygonal plate about an imaginary line connecting both ends of the arc of the arc.

The method of claim 7,
Wherein when the virtual lines are continuously connected, the virtual polygonal shape has a regular polygonal shape.

The method of claim 6,
Wherein the cut-out portion has a semicircular shape.

The method of claim 6,
Wherein when the number of arcs of the remaining one polygonal piece plate is larger than the number of arcs of any one polygonal piece plate of the plurality of polygonal piece plates, Wherein the shapes of the arcs are the same.

A plurality of chuck pieces having continuously formed 2n + 1 calls having the same shape on the rim,
And a plurality of sliced pieces formed continuously in such a manner that 2m + 2 arcs having the same shape are opposed to each other on the rim, and a cut-out portion is formed on the rim of the arc,
And a polyhedron is formed by continuously joining the incision part of the engraved plate and the incision part of the polygonal piece plate.

The method of claim 11,
Wherein the sliced plate and the sliced plate are provided with a plurality of slits,
And a fold line formed to be symmetrical with a rim of the arc toward an inner side around a virtual line connecting both ends of the arc of the arc.

The method of claim 12,
Wherein when the virtual lines are continuously connected, the virtual polygonal shape has a regular polygonal shape.

The method of claim 11,
Wherein the cut-out portion has a semicircular shape.

The method of claim 11,
When the number of the arc of the engraved plate is larger than the number of the arcs of any one of the plurality of engraved plates, the shape of the arc of any one of the engraved plates and the shape of the remaining one of the engraved plates Wherein the shapes of the arcs are the same.

The method of claim 11,
Wherein when the number of arcs of the remaining one polygonal piece plate is larger than the number of arcs of any one polygonal piece plate of the plurality of polygonal piece plates, Wherein the shapes of the arcs are the same.

The method of claim 11,
In the case where the incision portion of the piece plate and the incision portion of the polygonal piece plate are continuously engaged with each other,
Wherein the arc of the joining piece and the shape of the arc of the joining piece are identical to each other.